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3 years ago

Find the probability of obtaining exactly 3 heads when flipping 4 coins.

Mathematics

1 answer:

monitta3 years ago

8 0

The answer is 5/16 because in total there are 16 possibilities when tossing a coin 4 times.

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Dean's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 50 sodas in all, 90% of which we

Montano1993 [528]

Answer:

The diner served 45 regular sodas

Step-by-step explanation:

90% of 50 is 45 so the answer is 45

8 0

3 years ago

What is the answer I need help? <br>PLZ HELP ME

Firlakuza [10]

Use an app called Socratic, take a photo of the questions you're stuck on, then it will help you in stages and show you the answer.

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3 years ago

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

kumpel [21]

Answer:

side of 6.124 ft and height of 3.674 ft

Step-by-step explanation:

Let's s be the side of the square base and h be the height of the rectangular box.

The base and the roof would have an area of $s^2$ and cost of

$4s^2 + 2s^2 = 6s^2$

The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh

So the total cost for the material is

$6s^2 + 10sh = 450$

$10sh = 450 - 6s^2$

$h = 45/s - 0.6s$

The volume of the shed has the following formula

$V = s^2h = s^2(45/s - 0.6s) = 45s - 0.6s^3$

To find the maximum value for V, we can take its first derivative, and set it to 0

$\frac{dV}{ds} = 45 - 1.2s^2 = 0$

$1.2s^2 = 45$

$s^2 = 45 / 1.2 = 37.5$

$s = \sqrt{37.5} = 6.124 ft$

h = 45/s - 0.6s = 3.674 ft

4 0

4 years ago

Mitchell currently sells stoves for company a at a salary of $12,000 plus $150 commission for each stove he sells Company B offe

ipn [44]

Answer:

Mitchell needs to sell 120 stoves for the options to be equal.

Step-by-step explanation:

Company A gives Mitchell $12000 salary plus $150 commission per stove selling and Company B is offering Mitchell $24000 salary plus $50 commission per stove selling.

So, if Mitchell sells x number of stoves such that both the plans become equal, then we can write

12000 + 150x = 24000 + 50x

⇒ 100x = 12000

⇒ x = 120

Therefore, Mitchell needs to sell 120 stoves for the options to be equal. (Answer)

5 0

3 years ago

A cyclist travelled 4 miles in 15 minutes. What is her average speed in mph?

avanturin [10]

Answer:

16 Miles/Hours

Step-by-step explanation:

Average speed is the total distance covered divided by the total time

In that case we have a distance of 4 miles

Time is 15 minutes and in order to convert from minutes to hours we divide by 60 and it becomes 0.25 hours

So 4/0.25 is 16 Miles/Hours

8 0

3 years ago